TWO-DIMENSIONAL GENERALIZED MAGNETOTHERMOELASTIC DIFFUSION PROBLEM FOR A THICK PLATE UNDER LASER PULSE HEATING WITH THREE-PHASE LAG EFFECT

摘要

A two-dimensional magnetothermoelastic problem for a thick plate with diffusion in the context of the generalized thermoelasticity theory with three-phase lag effect is considered. The upper surface of the plate is taken to be traction free and heated by a laser beam, and the lower surface to be thermally insulated. The chemical potential on the bounding surface is assumed to be a known function of time. An analytical solution of the problem is derived in the Laplace-Fourier transform domain. The numerical inversions for the stresses, displacement, chemical potential, etc. in the space-time domain are obtained.